Search a number
-
+
666053980164 = 223417181668093
BaseRepresentation
bin10011011000100111110…
…10010011000000000100
32100200012110001220210000
421230103322103000010
541403034304331124
61225551520201300
766056303263446
oct11542372230004
92320173056700
10666053980164
11237521120551
12a9104169230
134aa68703381
1424346b98496
15124d3d1c6c9
hex9b13e93004

666053980164 has 120 divisors (see below), whose sum is σ = 1853808524568. Its totient is φ = 207803335680.

The previous prime is 666053980129. The next prime is 666053980177. The reversal of 666053980164 is 461089350666.

It can be written as a sum of positive squares in 4 ways, for example, as 2125764 + 666051854400 = 1458^2 + 816120^2 .

It is a super-2 number, since 2×6660539801642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 666053980164.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 662902 + ... + 1330994.

Almost surely, 2666053980164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666053980164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926904262284).

666053980164 is an abundant number, since it is smaller than the sum of its proper divisors (1187754544404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

666053980164 is a wasteful number, since it uses less digits than its factorization.

666053980164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668307 (or 668296 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 666053980164 in words is "six hundred sixty-six billion, fifty-three million, nine hundred eighty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 181 204 306 324 362 459 543 612 724 918 1086 1377 1629 1836 2172 2754 3077 3258 4887 5508 6154 6516 9231 9774 12308 14661 18462 19548 27693 29322 36924 55386 58644 83079 110772 166158 249237 332316 498474 668093 996948 1336186 2004279 2672372 4008558 6012837 8017116 11357581 12025674 18038511 22715162 24051348 34072743 36077022 45430324 54115533 68145486 72154044 102218229 108231066 120924833 136290972 204436458 216462132 241849666 306654687 362774499 408872916 483699332 613309374 725548998 919964061 1088323497 1226618748 1451097996 1839928122 2055722161 2176646994 3264970491 3679856244 4111444322 4353293988 6167166483 6529940982 8222888644 9794911473 12334332966 13059881964 18501499449 19589822946 24668665932 37002998898 39179645892 55504498347 74005997796 111008996694 166513495041 222017993388 333026990082 666053980164